Bibliographic Details
| Title: |
The Drude weight of the spin-1/2 XXZ chain: density matrix renormalization group versus exact diagonalization |
| Authors: |
Karrasch, C., Hauschild, J., Langer, S., Heidrich-Meisner, F. |
| Source: |
PRB 87, 245128 (2013) |
| Publication Year: |
2013 |
| Collection: |
Condensed Matter |
| Subject Terms: |
Condensed Matter - Strongly Correlated Electrons |
| More Details: |
We revisit the problem of the spin Drude weight D of the integrable spin-1/2 XXZ chain using two complementrary approaches, exact diagonalization (ED) and the time-dependent density-matrix renormalization group (tDMRG). We pursue two main goals. First, we present extensive results for the temperature dependence of D. By exploiting time translation invariance within tDMRG, one can extract D for significantly lower temperatures than in previous tDMRG studies. Second, we discuss the numerical quality of the tDMRG data and elaborate on details of the finite-size scaling of the ED results, comparing calculations carried out in the canonical and grand-canonical ensembles. Furthermore, we analyze the behavior of the Drude weight as the point with SU(2)-symmetric exchange is approached and discuss the relative contribution of the Drude weight to the sum rule as a function of temperature.
Comment: Revised version, additional ED and DMRG data for negative Delta, DMRG data for lower temperatures, discussion of Benz et al. 2005 corrected |
| Document Type: |
Working Paper |
| DOI: |
10.1103/PhysRevB.87.245128 |
| Access URL: |
http://arxiv.org/abs/1301.6401 |
| Accession Number: |
edsarx.1301.6401 |
| Database: |
arXiv |
